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This paper proposes a dual Riemannian alternating direction method of multipliers (ADMM) for solving low-rank semidefinite programs with unit diagonal constraints. We recast the ADMM subproblem as a Riemannian optimization problem over the…

最优化与控制 · 数学 2025-12-05 Jie Wang , Liangbing Hu , Bican Xia

This dissertation explores block decomposable methods for large-scale optimization problems. It focuses on alternating direction method of multipliers (ADMM) schemes and block coordinate descent (BCD) methods. Specifically, it introduces a…

最优化与控制 · 数学 2026-01-15 Leandro Farias Maia

The structure of the reconstruction algorithm OPED permits a natural way to generate additional data, while still preserving the essential feature of the algorithm. This provides a method for image reconstruction for limited angel problems.…

数值分析 · 数学 2008-11-04 Yuan Xu , Oleg Tischenko

Low-dose computed tomography (LDCT) offers significant advantages in reducing the potential harm to human bodies. However, reducing the X-ray dose in CT scanning often leads to severe noise and artifacts in the reconstructed images, which…

图像与视频处理 · 电气工程与系统科学 2024-08-27 Ran An , Yinghui Zhang , Xi Chen , Lemeng Li , Ke Chen , Hongwei Li

Computed tomography (CT) is widely utilized in clinical settings because it delivers detailed 3D images of the human body. However, performing CT scans is not always feasible due to radiation exposure and limitations in certain surgical…

图像与视频处理 · 电气工程与系统科学 2024-07-19 Xuhui Liu , Zhi Qiao , Runkun Liu , Hong Li , Juan Zhang , Xiantong Zhen , Zhen Qian , Baochang Zhang

We consider code optimization and angle-Doppler imaging for slow-time code division multiplexing (ST-CDM) linear frequency-modulated continuous-wave (LFMCW) multiple-input multiple-output (MIMO) radar systems. We optimize the slow-time code…

信号处理 · 电气工程与系统科学 2023-06-16 Xiaolei Shang , Yuanbo Cheng

We study the problem of spectrum estimation from transmission data of a known phantom. The goal is to reconstruct an x-ray spectrum that can accurately model the x-ray transmission curves and reflects a realistic shape of the typical energy…

医学物理 · 物理学 2021-07-14 Wooseok Ha , Emil Y. Sidky , Rina Foygel Barber , Taly Gilat Schmidt , Xiaochuan Pan

Variational formulations of reconstruction in computed tomography have the notable drawback of requiring repeated evaluations of both the forward Radon transform and either its adjoint or an approximate inverse transform which are…

数值分析 · 数学 2017-05-23 Richard C. Barnard , Rick Archibald

Computed Tomography (CT) is an imaging technique where information about an object are collected at different angles (called projections or scans). Then the cross-sectional image showing the internal structure of the slice is produced by…

图像与视频处理 · 电气工程与系统科学 2022-09-07 Zhengchun Liu , Rajkumar Kettimuthu , Ian Foster

Image reconstruction from computed tomography (CT) measurement is a challenging statistical inverse problem since a high-dimensional conditional distribution needs to be estimated. Based on training data obtained from high-quality…

图像与视频处理 · 电气工程与系统科学 2020-06-12 Alexander Denker , Maximilian Schmidt , Johannes Leuschner , Peter Maass , Jens Behrmann

This paper concerns iterative reconstruction for low-dose and few-view CT by minimizing a data-fidelity term regularized with the Total Variation (TV) penalty. We propose a very fast iterative algorithm to solve this problem. The algorithm…

医学物理 · 物理学 2017-02-01 Hiroyuki Kudo , Fukashi Yamazaki , Takuya Nemoto , Keita Takaki

Project ILATO focuses on Improving Limited Angle computed Tomography by Optical data integration in order to enhance image quality and shorten acquisition times in X-ray based industrial quality inspection. Limited angle computed tomography…

计算几何 · 计算机科学 2014-04-29 Andreas Beyer , Hubert Mara , Susanne Krömker

In this work, a new constrained hybrid variational deblurring model is developed by combining the non-convex first- and second-order total variation regularizers. Moreover, a box constraint is imposed on the proposed model to guarantee high…

计算机视觉与模式识别 · 计算机科学 2013-10-03 Ryan Wen Liu , Tian Xu

Inverse problems, such as accelerated MRI reconstruction, are ill-posed and an infinite amount of possible and plausible solutions exist. This may not only lead to uncertainty in the reconstructed image but also in downstream tasks such as…

图像与视频处理 · 电气工程与系统科学 2024-07-26 Jan Nikolas Morshuis , Matthias Hein , Christian F. Baumgartner

Accurate segmentation for medical images is important for clinical diagnosis. Existing automatic segmentation methods are mainly based on fully supervised learning and have an extremely high demand for precise annotations, which are very…

计算机视觉与模式识别 · 计算机科学 2021-06-10 Yuanpeng Liu , Qinglei Hui , Zhiyi Peng , Shaolin Gong , Dexing Kong

This paper applies the recent fast iterative neural network framework, Momentum-Net, using appropriate models to low-dose X-ray computed tomography (LDCT) image reconstruction. At each layer of the proposed Momentum-Net, the model-based…

图像与视频处理 · 电气工程与系统科学 2020-09-10 Siqi Ye , Yong Long , Il Yong Chun

This paper develops an adaptive proximal alternating direction method of multipliers (ADMM) for solving linearly constrained, composite optimization problems under the assumption that the smooth component of the objective is weakly convex,…

最优化与控制 · 数学 2026-05-04 Leandro Farias Maia , David H. Gutman , Renato D. C. Monteiro , Gilson N. Silva

Coded aperture is a promising approach for capturing the 4-D light field (LF), in which the 4-D data are compressively modulated into 2-D coded measurements that are further decoded by reconstruction algorithms. The bottleneck lies in the…

图像与视频处理 · 电气工程与系统科学 2020-07-24 Mantang Guo , Junhui Hou , Jing Jin , Jie Chen , Lap-Pui Chau

The alternating direction method of multipliers (ADMM) has recently sparked interest as a flexible and efficient optimization tool for imaging inverse problems, namely deconvolution and reconstruction under non-smooth convex regularization.…

最优化与控制 · 数学 2015-06-11 Mariana S. C. Almeida , Mário A. T. Figueiredo

We present a direct method for limited angle tomographic reconstruction using convolutional networks. The key to our method is to first stretch every tilt view in the direction perpendicular to the tilt axis by the secant of the tilt angle.…

图像与视频处理 · 电气工程与系统科学 2023-06-21 Kyle Luther , Sebastian Seung
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